252896795136001 has 2 divisors, whose sum is σ = 252896795136002. Its totient is φ = 252896795136000.

The previous prime is 252896795135939. The next prime is 252896795136019. The reversal of 252896795136001 is 100631597698252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 241834845081600 + 11061950054401 = 15551040^2 + 3325951^2 .

It is a cyclic number.

It is not a de Polignac number, because 252896795136001 - 2⁹ = 252896795135489 is a prime.

It is not a weakly prime, because it can be changed into another prime (252896795136071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126448397568000 + 126448397568001.

It is an arithmetic number, because the mean of its divisors is an integer number (126448397568001).

Almost surely, 2^{252896795136001} is an apocalyptic number.

It is an amenable number.

252896795136001 is a deficient number, since it is larger than the sum of its proper divisors (1).

252896795136001 is an equidigital number, since it uses as much as digits as its factorization.

252896795136001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48988800, while the sum is 64.

The spelling of 252896795136001 in words is "two hundred fifty-two trillion, eight hundred ninety-six billion, seven hundred ninety-five million, one hundred thirty-six thousand, one".